Multiresolution morphing for planar curves
نویسندگان
چکیده
منابع مشابه
Morphing Planar Graph Drawings
The study of planar graphs dates back to Euler and the earliest days of graph theory. Centuries later came the proofs by Wagner, Fáry and Stein that every planar graph can be drawn with straight line segments for the edges, and the algorithm by Tutte for constructing such straight-line drawings given in his 1963 paper, “How to Draw a Graph”. With more recent attention to complexity issues, this...
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This paper presents a new view-synthesis technique using the 2D discrete wavelet-based view morphing. The view morphing is completely based on pairwise images without the camera calibration and depth information of images. First a Fundamental Matrix related to any pair of images is estimated. Then using the fundamental matrix, the pair of image planes is rectified to be parallel with their corr...
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We provide an algorithm for computing a planar morph between any two planar straight-line drawings of any n-vertex plane graph in O(n) morphing steps, thus improving upon the previously best known O(n) upper bound. Further, we prove that our algorithm is optimal, that is, we show that there exist two planar straight-line drawings Γs and Γt of an n-vertex plane graph G such that any planar morph...
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A morph between two straight-line planar drawings of the same graph is a continuous transformation from the first to the second drawing such that planarity is preserved at all times. Each step of the morph moves each vertex at constant speed along a straight line. Although the existence of a morph between any two drawings was established several decades ago, only recently it has been proved tha...
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In this paper we study how two planar embeddings of the same biconnected graph can be morphed one into the other while minimizing the number of elementary changes. We define two operations to modify the combinatorial embedding and the external face of a biconnected graph. First, we show that given two embeddings of the graph, the problem of computing the minimum number of operations that morph ...
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ژورنال
عنوان ژورنال: Computing
سال: 2007
ISSN: 0010-485X,1436-5057
DOI: 10.1007/s00607-006-0198-7