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 2018 NCTS Summer Course: Image and Shape Manipulation

 14:00-16:00 on Mondays, Wednesdays and Fridays R440, Astronomy-Mathematics Building, NTU Speaker(s): Shizuo Kaji (Kyushu University) Chun-Chi Lin (National Taiwan Normal University) Mei-Heng Yueh (National Taiwan Normal University) Organizer(s): Shizuo Kaji (Kyushu University) Chun-Chi Lin (National Taiwan Normal University) 一、課程背景與目的： In this course, we will discuss how to deal with images and shapes on computer. In Computer graphics, images are generated typically in three steps; modeling shapes, creating textures, and rendering images. Shapes are represented by polyhedron or meshes. They are created by designers or generated by physical simulation. While meshes are responsible for the geometry of objects, texture tells how the objects look or react with light. Rendering the 3D scene produces images by simulating how a camera captures light.    二、課程之大綱與講者： 1. Main Lecturer: Prof. Shizuo Kaji and Dr. Mei-Heng Yueh 2. Description of this course:  We will primarily be interested in altering shapes and images based on topological and geometrical techniques. Images are vector-valued functions on a rectangular domain, whose values are the color intensity of pixels. A mesh is an imbedding of a polygon into the three-space. Thus, we can manipulate images and shapes by defining operations on these maps. However, these maps are inevitably discrete to be dealt with on computer. Discrete differential geometry is a relatively new and active area in geometry to handle “smooth” shapes represented in a discrete way. We will see how basic notions in calculus are translated in a discrete language and can be applied to manipulate shapes and images. We will also discuss concrete algorithms and their implementations.    三、課程詳細時間地點以及方式： Date: 30.07-17.08.2018. Time: Monday, Wednesday, Friday, 2-4 PM.    Note: (1) Lectures :  2 pm to 4 pm on 30 July (Mon), 1 Aug (Wed), 3 Aug (Fri), 6 Aug (Mon), 10 Aug (Fri), 13 Aug (Mon), 17 Aug (Fri) (2) Discussions: 2 pm to 4 pm on 8 Aug (Wed), 15 Aug (Wed) (3) Please prepare your own laptop for class exercise.   Registration: Poster: events_3_144180504555154007.pdf

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