JP6736265B2 - Moire pattern drawing method and stamp - Google Patents
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- 238000000034 method Methods 0.000 title claims description 18
- 238000003825 pressing Methods 0.000 description 13
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- 239000002759 woven fabric Substances 0.000 description 2
- 241000556720 Manga Species 0.000 description 1
- 239000000853 adhesive Substances 0.000 description 1
- 230000001070 adhesive effect Effects 0.000 description 1
- 238000010009 beating Methods 0.000 description 1
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- 239000000057 synthetic resin Substances 0.000 description 1
- 230000000007 visual effect Effects 0.000 description 1
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Description
本発明は、スタンプを用いて紙等の描画対象物にモアレ模様を描画する方法に関し、また、かかるモアレ模様を描画する方法に用いるスタンプに関する。 The present invention relates to a method for drawing a moire pattern on a drawing object such as paper using a stamp, and a stamp used for a method for drawing such a moire pattern.
モアレとは「干渉縞」ともいい、規則正しく分布している細かな点や線等の要素図形を位相をずらせて重ね合わせたときに視覚的に発生する縞模様のことである。印刷の分野では写真等の階調表現のために網点を配列し、また、コンピュータによる画像処理の分野では画像処理において画像を画素と呼ばれる点を配置するが、モアレは、網点や画素のピッチや傾きのずれによって本来は存在しない縞模様等が生じるため、これをいわゆるノイズとして、一般には忌避すべき現象とされている。 Moire is also called "interference fringe", and is a fringe pattern that visually occurs when element figures such as fine dots and lines that are regularly distributed are superposed with the phases shifted. In the field of printing, halftone dots are arranged for gradation expression of photographs and the like, and in the field of image processing by a computer, the image is arranged with points called pixels. In moire, halftone dots and pixel Since a stripe pattern or the like that does not exist originally is generated due to the deviation of the pitch or the inclination, it is generally regarded as a phenomenon that should be avoided as so-called noise.
しかし、単純単調な網点や網線から成る図形を、水平にずらす、回転させる等、僅かに位相を変えて重ねることにより、予期せず複雑で看者に美観を感じさせるモアレ模様が生じることが知られている。繊維分野では、織物の繊維の位相をずらせて織ることで意図的に美しいモアレ模様を発生させることがある。また、イラストレーションや漫画の分野では、規則的な模様のスクリーントーンを重ねることでモアレ模様を演出として利用されることがある。しかし、スクリーントーンは高価な上、取扱いに慣れが必要であるほか、裏面の接着剤が有効な紙等にしか適用できず、重ね貼りにより厚みが増加し、剥がれるおそれもある。そのため、スクリーントーンはイラストレーター等の専門的用途向けであり、気軽に様々な対象物にモアレ模様の描画を楽しむ用途には適していなかった。 However, a simple monotonous pattern consisting of halftone dots and halftone lines may be unexpectedly complex and aesthetically pleasing to the viewer due to a slight shift in phase, such as horizontal shifting or rotation. It has been known. In the field of textiles, weaving the fibers of the woven fabric while shifting the phase of the woven fabric may intentionally generate a beautiful moire pattern. In the field of illustration and manga, a moire pattern may be used as an effect by overlapping screen tones of regular patterns. However, the screen tone is expensive and requires familiarity with handling, and can be applied only to paper or the like having an effective adhesive on the back surface, and the thickness may increase due to stacking and peeling may occur. Therefore, the screen tone is intended for a professional use such as an illustrator, and is not suitable for the purpose of casually enjoying drawing a moire pattern on various objects.
一方、ハンドクラフトの分野では、近年「スタンプアート」と呼ばれる技法が注目されている。スタンプアートは、文字や図形を印画できるゴム印方式のスタンプと様々な色彩のインクを用い、紙面だけでなく身の回り品等に自由に描画して楽しむホビーである。非特許文献1のような入門書が発刊されており(図1参照)、図2、3に示すようなスタンプアート用のラバースタンプが製造販売されている。また、技法を学べる講座や愛好家によるイベントも開催されている。
従来のスタンプアートは、主に有意な図形や文字等の具象図形の印面を有するスタンプと様々な色彩のインクを用いて紙等に押印することで描画するもので、多種類のスタンプを組み合わせたり、手書きの描画や他の描画手段と組み合わせる等の技法が行われている。
また、描画対象物も画用紙のほか、カードや栞その他の雑貨類がある。
Conventional stamp art is mainly a stamp that has a face of a concrete figure such as a significant figure or a character, and is drawn by imprinting it on paper with various colors of ink. Techniques such as hand-drawn drawing and combination with other drawing means are used.
In addition to drawing paper, drawing objects include cards, bookmarks and other miscellaneous goods.
ところで、従来のスタンプアートにおいても、平行線やドットの集合から成る幾何学的模様の印面を有するスタンプが用いられることがあるが、その用途は模様自体の描画あるいは背景的模様の描画であり、幾何学的模様を重ね合せて意図的にモアレ模様を描画することは行われていなかった。 By the way, even in the conventional stamp art, a stamp having a stamp surface of a geometric pattern composed of a set of parallel lines and dots may be used, but the purpose is to draw the pattern itself or to draw a background pattern, It has not been done intentionally to draw a moire pattern by overlapping geometric patterns.
本発明は、スタンプアートにおいて、所定の条件を備える幾何学的模様の印面を有するスタンプを用いることで描画対象物に意図的にモアレ模様を描画する方法を提供し、また該方法に適したスタンプを提供することを課題とする。 The present invention provides a method of intentionally drawing a moire pattern on a drawing object by using a stamp having a stamp surface of a geometric pattern having a predetermined condition in the stamp art, and a stamp suitable for the method. The challenge is to provide.
上記の課題を解決するために、本発明の請求項1に記載したモアレ模様の描画方法は、多数の同一の要素図形(ドットを除く)の凸面を二次元点対称に配列して成る幾何学的模様の印面を有するスタンプを、描画対象物に手押しにて押印して第一の印画を得る第一の工程と、前記スタンプを第一の印画に対して位相を変えて手押しにて複数回重ねて押印する第二の工程とから成ることを特徴とする。 In order to solve the above-mentioned problems, the drawing method of the moire pattern according to claim 1 of the present invention is a geometric method in which convex surfaces of a large number of identical element figures (excluding dots) are arranged in two-dimensional point symmetry. A step of stamping a stamp having a target printing surface onto a drawing object by hand to obtain a first print; and changing the phase of the stamp with respect to the first print multiple times by hand It is characterized by comprising a second step of stacking and imprinting.
モアレは二つの空間周波数のうなり現象であり、二次元描画面に生じるモアレ模様は、特定の周期で連続的に並んだ線や点等の図形(以下、「要素図形」という。)を、位相をずらせて二つ重ね合せた場合に、隣接する要素図形の距離と位相のずれとの差分に相当する周期で生じる新たな縞模様として視覚される。従って、要素図形自体が直線、曲線、点、あるいは何らかの図形のいずれの場合でも、それらが特定の周期で連続的に並んでいればモアレ模様は生じる。また、前記位相のずれは、水平移動、回転あるいはそれらの組み合わせである。 Moire is a beating phenomenon of two spatial frequencies, and the moire pattern that occurs on a two-dimensional drawing surface is a pattern of lines, points, and other figures (hereinafter referred to as "element figures") that are continuously arranged at a specific cycle. When they are overlapped with each other by shifting them, they are visually recognized as a new striped pattern generated in a cycle corresponding to the difference between the distance and the phase shift of the adjacent element figures. Therefore, regardless of whether the element graphic itself is a straight line, a curve, a point, or any graphic, a moire pattern occurs if they are continuously arranged at a specific cycle. The phase shift is horizontal movement, rotation, or a combination thereof.
特定の周期で連続的に並ぶ要素図形を最も手軽に描画する手段はスタンプである。要素図形を配列したスタンプを描画対象面に一回押印した後、スタンプをやや水平移動、あるいは回転させ重ねて押印することで、位相のずれた二つの同一の要素図形群が重なり、モアレ模様が描画される。 A stamp is the easiest way to draw element graphics that are continuously arranged in a specific cycle. After imprinting a stamp with element graphics arranged on the drawing surface once, move the stamps slightly horizontally or rotate them and imprint them one on top of another, so that two identical element graphic groups out of phase overlap and a moire pattern appears. Is drawn.
スタンプアートでは、計算に基づいて所期のモアレ模様を現出させることが目的ではなく、手押しによる微妙な位相のずれにより、ユーザ(創作者)が予期せぬ多彩なモアレ模様の偶然の現出を楽しむことが目的である。従って、個々の要素図形の形状を問わず、その配列は二次元点対称、すなわち180度対称とすることが美術的観点からは好適である。なぜなら、配列が二次元点対称であれば、二つの要素図形群の位相をどの方向にずらせた場合も、得られるモアレ模様は常にシンメトリとなり、人間の視覚の特性上、審美性の高いものとなるからである。 In stamp art, the purpose is not to bring out the desired moire pattern based on calculations, but due to a slight phase shift caused by manual pressing, the user (creator) may accidentally appear a variety of moire patterns. The purpose is to enjoy. Therefore, regardless of the shape of each element graphic, it is preferable from an artistic point of view that the array be two-dimensional point symmetry, that is, 180 degrees symmetry. This is because, if the array is two-dimensional point symmetric, the obtained moire pattern will always be symmetric even if the phase of the two element figure groups is shifted in any direction, and it is highly aesthetic in terms of human visual characteristics. Because it will be.
具体的には、要素図形を点(ドット)とする場合は、その配列は正方形格子状あるいは点とそのすべての隣接点を等距離としたいわゆる網点状とし、直線とする場合は、等間隔の並行線とし、円(楕円を含む)とする場合は同心円とするが、全体としての配列が二次元点対称であれば、これらに限られない。 Specifically, when the element figure is a dot, the array is a square grid or a so-called halftone dot with the points and all the adjacent points equidistant. When the circles are parallel lines and are circles (including ellipses), they are concentric circles, but the arrangement is not limited to these as long as the overall arrangement is two-dimensional point symmetry.
スタンプによる押印は、二回だけでなく三回以上重ねることで、複雑で高密度なモアレ模様を描画できる。また、同じ形状の要素図形の大きさ、又は配列の間隔・周期の異なるスタンプを重ね押しすれば、より複雑なモアレ模様を描画できる。さらに、スタンプに用いるインクの色や濃度を変えて重ね押しすることで、表現力を高めることもできる。 The stamp imprinting is not limited to twice but can be repeated three or more times to create a complicated and high-density moire pattern. In addition, a more complicated moire pattern can be drawn by pressing the stamps having the same size of element graphics or different arrangement intervals/cycles. Furthermore, the expressiveness can be enhanced by changing the color or density of the ink used for the stamp and pressing the ink repeatedly.
請求項2に記載したスタンプは、請求項1に記載したモアレ模様の描画方法に用いる、多数の同一の要素図形(ドットを除く)の凸面を二次元点対称に配列して成る印面を有するものとしている。スタンプ自体の構成は、木材又はプラスティック等から成る把持部を有する本体に、要素図形を成す凸面を一体的に配列成形したゴム等一定の弾力性を有する素材から成る印面を貼付したもので足り、本体及び印面の大きさや形状は任意である。 The stamp described in claim 2 has a stamped surface formed by arranging a plurality of convex surfaces of the same elemental figure (excluding dots) in a two-dimensional point symmetry, which is used in the moire pattern drawing method described in claim 1. I am trying. The structure of the stamp itself is sufficient if a stamp face made of a material having a certain elasticity such as rubber in which convex surfaces forming elemental figures are integrally arranged and molded is attached to a main body having a grip portion made of wood or plastic, The size and shape of the main body and the stamp face are arbitrary.
なお、要素図形が、点(ドット)等の独立した図形や平行線のように、そのままの配列で連続的に拡張させても二次元点対称性が失われない図形である場合は、印面を円筒外側面に切れ目なく貼り付けてローラー状に構成することもできる。この場合、取っ手にローラー状の印面を回転可能に取り付ければ、ペンキ塗り用ローラの如く描画対象物に連続的に印画することが可能となる。かかるローラー式スタンプを用いれば、印画を隙間なく並行に並べて印面の幅よりも幅広の第一の印画を得、さらに位相をずらせて同様の幅広の第二の印画を重ねることにより、より大きなモアレ模様を効率的に描画したり、帯状の第一の印画と第二の印画の交差重複部分のみにモアレ模様を生じさせるなど、描画方法の幅をさらに拡げることができる。 If the element figure is an independent figure such as a dot (dot) or a figure that does not lose the two-dimensional point symmetry even if it is continuously expanded with the same arrangement, such as parallel lines, the seal face is It can also be formed into a roller by sticking to the outer surface of the cylinder without breaks. In this case, if a roller-shaped stamping surface is rotatably attached to the handle, it is possible to continuously print on a drawing object like a paint roller. If such a roller stamp is used, the prints are arranged side by side in parallel without a gap to obtain a first print wider than the width of the printing surface, and the second prints having the same width are overlapped by further shifting the phase to obtain a larger moire. The width of the drawing method can be further expanded by efficiently drawing a pattern or by producing a moire pattern only in the intersecting and overlapping portions of the strip-shaped first print and the second print.
本発明によれば、ユーザは格別の技術を要さず、スタンプを押すだけで簡単に複雑で美しいモアレ模様を描画可能である。モアレ模様は、スタンプの重ね押しの僅かな位相のずれにより千変万化し、その意外性の高さがユーザの創作意欲を刺激する。本発明は、ユーザの年齢や技量を問わず、スタンプアートの表現力を格段に高める効果が期待できる。 According to the present invention, the user can draw a complicated and beautiful moire pattern simply by pressing a stamp without requiring any special technique. The moire pattern changes a lot due to a slight phase shift between stamps, and the unexpectedness stimulates the user's creativity. INDUSTRIAL APPLICABILITY The present invention can be expected to have an effect of significantly enhancing the expressive power of stamp art regardless of the age or skill of the user.
以下、本発明の実施の形態について図4乃至14を参照して説明する。図4は、本発明の一つの実施形態に係るスタンプ1の斜視図、図5は印面4を正面から見た正面図及びスタンプ1の側面図である。 Hereinafter, embodiments of the present invention will be described with reference to FIGS. FIG. 4 is a perspective view of the stamp 1 according to one embodiment of the present invention, and FIG. 5 is a front view of the stamp face 4 viewed from the front and a side view of the stamp 1.
スタンプ1は、印台2と把持部3とから成り、印台2の表面にはクッション5を介して印面4を貼付しており、一般的な事務用スタンプと同様の構成である。印台2及び把持部3は木材又はプラスティック等の合成樹脂製とし、一体成型も可能である。印面4はゴム(ラバー)製、クッション5はスポンジシートが好適である。印面4の表面には要素図形としてのドットから成る凸面6を多数、二次元点対称の正方形格子状に一体成型している。 The stamp 1 includes a stamp board 2 and a grip portion 3, and a stamp surface 4 is attached to the surface of the stamp board 2 via a cushion 5, and has the same configuration as a general office stamp. The stamp base 2 and the grip portion 3 are made of synthetic resin such as wood or plastic, and can be integrally molded. The stamp surface 4 is preferably made of rubber, and the cushion 5 is preferably a sponge sheet. On the surface of the stamp surface 4, a large number of convex surfaces 6 composed of dots as elemental figures are integrally molded in a two-dimensional point-symmetrical square lattice shape.
図6は、前記スタンプ1を描画対象面に押印して現れる網点の印画である。複数の印画を重ねずに隙間なく並べて押すことにより、網点模様の印画は拡大可能である。 FIG. 6 shows a halftone dot image that appears when the stamp 1 is imprinted on the drawing target surface. The halftone dot print can be enlarged by pressing a plurality of prints side by side without gaps without overlapping.
図7は、前記スタンプ1で一回印画した後、スタンプ1を中心軸で回転させることにより位相をずらして二回目の押印を行った印画である。回転角度の変化により、様々に異なるモアレ模様が描画される。 FIG. 7 shows an image obtained by performing the second imprinting after the stamp 1 has been imprinted once and then the phase of the stamp 1 has been shifted by rotating the stamp 1 about its central axis. Various different moire patterns are drawn by changing the rotation angle.
図8は、左と中央の印画は、前記スタンプ1でさらに回転角度を変えてもう一回重ねて三回重ねで押印したものであり、右の印画は四回重ねで押印したものである。図7の場合に比べ、より複雑で立体的なモアレ模様が描画される。 In FIG. 8, the left and the center prints are those obtained by imprinting the stamp 1 again by changing the rotation angle and re-imprinting it once again, and the imprinting on the right is imprinting four times. As compared with the case of FIG. 7, a more complicated and three-dimensional moire pattern is drawn.
図9は、前記スタンプ1で、二回目の印画を回転ではなく斜め方向に位相をずらせて行ったものである。一回押印の場合に比べて縦横方向の格子状のモアレ模様が描画される。 FIG. 9 shows the stamp 1 in which the second printing is performed not by rotation but by shifting the phase in an oblique direction. A moire pattern in a grid pattern in the vertical and horizontal directions is drawn as compared with the case of the one-time stamp.
図10は、前記スタンプ1での一回目押印後、同形同大のドットのピッチを変えて配列した異なるスタンプで重ねて二回目の押印を行った印画である。中心軸で回転させた左図では略千鳥格子模様状のモアレ模様が描画され、位相をずらさずに単純に重ね押しした右図では縦横斜め各方向に線状のモアレ模様が描画される。 FIG. 10 is a print image obtained by performing the second imprinting after the first imprinting with the stamp 1 and by superposing different stamps in which the dots of the same shape and the same size are arranged at different pitches. In the left figure rotated around the central axis, a substantially houndstooth checkered moire pattern is drawn, and in the right figure simply pushed repeatedly without shifting the phase, linear moire patterns are drawn in each of vertical, horizontal and diagonal directions.
図11は、前記スタンプ1での一回目押印後、同形でより大きなドットを配列した異なるスタンプを重ねて中心軸で回転させて二回目押印を行った印画である。重なったドットが変形するため、部分的に立体的なモアレ模様が描画される。 FIG. 11 shows a printing image obtained by stamping the stamp 1 for the first time and then stacking different stamps having the same shape and larger dots and rotating the stamps about the central axis to perform the second stamping. Since the overlapping dots are deformed, a partially three-dimensional moire pattern is drawn.
図12は、スタンプ1の要素図形を、ドットのほか、それぞれ短い斜め線、×印、〇印として中心軸で回転させて二回押印して得た印画を例示したものである。要素画像が異なっても、いずれもシンメトリな新たな図形単位の格子状配列のモアレ模様が描出され、リズム感のある模様を形成する。 FIG. 12 exemplifies a print obtained by rotating the element graphic of the stamp 1 as a dot, a short diagonal line, an X mark, and a O mark on the central axis and impressing the element twice. Even if the element images are different, a symmetric new moire pattern in a lattice arrangement is newly drawn in each unit, and a pattern with a sense of rhythm is formed.
図13は、スタンプ1の要素図形を等間隔の水平線とし、中心軸で回転させて二回押印して得た印画を例示したものである。畳の目状の縦線が現れた立体的なモアレ模様が描出される。 FIG. 13 exemplifies a print image obtained by imprinting the element figures of the stamp 1 as horizontal lines at equal intervals, rotating the central axis, and impressing twice. A three-dimensional moire pattern with vertical lines that resemble a tatami mat is drawn.
図14は、スタンプ1の要素図形を細かい間隔の同心円とし、二回目押印を斜め上方に位相をずらせて得た印画を例示したものである。重なり部分では放射状の模様が現れたモアレ模様が描出される。 FIG. 14 exemplifies a print obtained by making the element figures of the stamp 1 concentric circles with fine intervals and shifting the phase of the second imprint diagonally upward. A moire pattern with a radial pattern is drawn in the overlapping portion.
以上、本発明に係るモアレ模様の描画方法並びに該方法に用いるスタンプの実施の形態について図面を参照しつつ説明したが、本発明は上記実施形態に限定されるものではなく、改良の目的又は本発明の技術的思想の範囲内において改良又は変更が可能であり、それらは本発明の技術的範囲に属する。 Although the embodiments of the moire pattern drawing method and the stamp used in the method according to the present invention have been described above with reference to the drawings, the present invention is not limited to the above embodiments, and an object of improvement or a book Modifications and changes are possible within the scope of the technical idea of the invention, and they belong to the technical scope of the present invention.
例えば、要素図形を凸部で表すだけでなく、凹部として反転図形とした印面としても、位相をずらせて二回以上押印すれば、異なる風合いのモアレ模様を描画できる。もちろん、同じ印面のスタンプを用いても、位相のずらし方により生じるモアレ模様のパターンは無限である。また、スタンプの印台・印面を可撓性と弾力性を備えた素材で構成し、印面を立体曲面にも密着可能に構成すれば、紙等の平面だけでなく身の回り品の立体的な表面にもモアレ模様を描画可能とできるし、たとえば、人間の皮膚や爪の曲面にモアレ模様を描画してメイクアップやネイルアート等にも応用可能である。なお、本発明に係るスタンプは、モアレ模様の描画のみならず、描画対象物に単純に並べて連続的に押印して埋め尽くすことで、手押しで生じる微妙な傾きの味わいのある装飾を行うこともでき、一部をモアレパターンにすることもできる。そのため、オリジナルデザインのラッピングペーパの制作、Tシャツ等の柄のデザイン、壁の装飾等、幅広い用途にも活用できる。 For example, not only when the element graphic is represented by the convex portion but also when the concave surface is formed as an inverted graphic, the moire pattern having different textures can be drawn by shifting the phase and imprinting the stamp twice or more. Of course, even if the stamps having the same printing surface are used, the moire pattern generated due to the phase shift is infinite. In addition, if the stamp base and stamp surface of the stamp are made of a flexible and elastic material, and the stamp surface can be in close contact with a three-dimensional curved surface, it can be used not only on a flat surface such as paper, but also on the three-dimensional surface of personal belongings. Can also draw a moire pattern, and can be applied to make-up, nail art, etc. by drawing a moire pattern on the curved surface of human skin or nails, for example. The stamp according to the present invention is not limited to the drawing of the moire pattern, and can be simply arranged on the drawing object and continuously imprinted to fill up the decoration, thereby providing decoration with a slight inclination caused by hand pushing. It is also possible to make a part of it a moire pattern. Therefore, it can be used for a wide range of purposes, such as the production of original wrapping paper, the design of patterns for T-shirts, and the decoration of walls.
本発明は、スタンプアートに代表される芸術及びホビーの分野はもとより、テキスタイルデザイン、プロダクトデザイン、インテリアデザイン等における新たなデザイン描画方法並びにデザイン用具として利用可能であり、その適用範囲は広い。また、子供の知育教材、高齢者福祉施設におけるアクティビティにも利用可能である。 INDUSTRIAL APPLICABILITY The present invention can be used as a new design drawing method and design tool in textile design, product design, interior design, etc., as well as in the fields of art and hobby represented by stamp art, and its application range is wide. It can also be used for educational materials for children and activities at welfare facilities for the elderly.
1 スタンプ
2 印台
3 把持部
4 印面
5 クッション
6 図形要素の凸部
1 Stamp 2 Stamp base 3 Grasping part 4 Stamp face 5 Cushion 6 Convex part of graphic element
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JPS609011Y2 (en) * | 1979-07-10 | 1985-04-01 | 凸版印刷株式会社 | packaging material |
GB8307290D0 (en) * | 1983-03-16 | 1983-04-20 | Phillips G L P | Colour printing process |
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