The Applied Research Of Fourier Series In The Graphic Design

It is a long time what mathematics were applied in the field of art, but mathematical knowledge what were used in the design of art is often part of the scope of elementary mathematics; and related to the knowledge of higher mathematics, but it is difficult to be applied by the artist. With the computer's graphics capabilities are maturing, and the birth of fractal geometry, so that ordinary people have the privilege of witnessing a mathematical formula hidden aesthetic connotation. In modern times, fractal geometry has been applied in the arts, many artists are working to Fractal Art graphic design of the study, but with the higher mathematics of the Fourier series to carry out graphic design, but little studied.As the Fourier series is a trigonometric function, with recurring features, hence its generated graphics with the rhythm, rhythm. And to create the pattern image of the rich, photo-shaped, ground is also shaped, figure to swap to form positive and negative forms. Moreover, application of Fourier series for graphic design, does not need to have a very profound knowledge of mathematics can make an artist easy to use mathematical knowledge, but a mathematician can quickly comprehend the feelings of the arts.Fourier series form of graphics has a strong mathematical relationships and non-human factors, has revealed its original graphic design art forms in the rules of mathematical content, but also for the design of art adds a rational expression, and the creation of form context to give designers a wider space. Papers main functions include:First introduces the basic concepts of Fourier series to explain the traditional designs with modern digital graphic design links and differences between the composition and digital graphic form. And then analyzed the main subject of research problems:the study of this topic point of view there are limits; Fourier series in the graphic design of the application of very little. And on this basis, the study described in this paper, consider the significance and the overall structure of the arrangements papers.Studied the design of the logic of mathematical thinking and thinking in images. Proposed as a designer should have both the quality and ability-the image of emotional and rational thinking, logical thinking. With a full understanding, understanding in order to speak of sentiment, thereâ…¢ are quick logical thinking ability is a good use and create. Namely the need to come to the design of logical thinking they need to thinking in images, the two are complementary conclusions.Studied the direct Fourier series generated graphics of the characteristics and aesthetics of its start graph analysis; put forward the basic shape of the application of Fourier methods; pointed out that the use of Fourier series, the design is not a mystical thing. Fourier series expansion plans with a strict mathematical sense of beauty, from an artistic point of view, these graphics have the symmetry rules, and rhythmically repeated. Its graphics have a rhythm and rhythm, symmetry and balance, change and unity and so constitutes a feature. Fourier basic shape through selection, graphics and imagine the interception to add the appropriate treatment can be applied. Design, with an expansion and a different physical expansion and the changes produced a lot of graphics, to provide inspiration for designers, in this based on creativity and ideas to produce beautiful graphics.Studied the composition of individual patterns methods:freestyle and individual patterns for style, suitable for body-type is divided into suitable, suitable for corners, edges for the three forms. Two parties constitutes a method of successive patterns:scattered point, vertical, tilt type, twists and turns in style and so on. Four successive patterns constitute the method:scatter type, run-on style, overlapping type, and so. Analysis of the composition of characteristics of various types of patterns. Based on these studies, carried out the design patterns of various types of creative practice, and create different types of graphic composition, pattern types are rich.Studied application of the graphics of the design in the clothing, textiles, bags, edge of basins,edge of bowl.Studied the concept of ethnic minorities of color patterns and color characteristics. Ethnic minorities have a distinctive color pattern of personality and character, from the ethnic minorities to seek the most basic color pattern, the relationship between its color scheme applied to the mathematical graphics to create a visual impact of the composition. On the other hand, due to the limitations of the traditional concept of color, modern design tradition has evolved as a representative of color "black, white, red, gold" four-color, the color of their mathematical graphics in order to achieve the perfect aesthetic tradition and modernity combination. In summary, the papers will be Fourier series applied to the pattern design, the innovative design of the patterns studied. Discusses the design of an innovative design patterns approach for the graphic design provides a new creative tool for the rational.