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	<title>利用者:Apinzonf/Gsoc2014/design - 版の履歴</title>
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	<updated>2026-05-14T16:16:10Z</updated>
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		<id>https://wiki.blender.jp/index.php?title=%E5%88%A9%E7%94%A8%E8%80%85:Apinzonf/Gsoc2014/design&amp;diff=146907&amp;oldid=prev</id>
		<title>Yamyam: 1版 をインポートしました</title>
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		<updated>2018-06-28T21:08:18Z</updated>

		<summary type="html">&lt;p&gt;1版 をインポートしました&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← 古い版&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;2018年6月28日 (木) 21:08時点における版&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-notice&quot; lang=&quot;ja&quot;&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(相違点なし)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>Yamyam</name></author>
		
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	<entry>
		<id>https://wiki.blender.jp/index.php?title=%E5%88%A9%E7%94%A8%E8%80%85:Apinzonf/Gsoc2014/design&amp;diff=146906&amp;oldid=prev</id>
		<title>2014年6月3日 (火) 20:17にwiki&gt;Apinzonfによる</title>
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		<updated>2014-06-03T20:17:06Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;新規ページ&lt;/b&gt;&lt;/p&gt;&lt;div&gt;= Design =&lt;br /&gt;
&lt;br /&gt;
&amp;lt;b&amp;gt; Project: &amp;lt;/b&amp;gt; Interactive Quadrilateral Remeshing Based on Harmonic Functions.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;b&amp;gt; Language: &amp;lt;/b&amp;gt; C, C++.&lt;br /&gt;
&lt;br /&gt;
This new tool goes:&lt;br /&gt;
&lt;br /&gt;
* (First option) into the specials menu, because the tool do not working in real time.&lt;br /&gt;
* (Second option) special session like sculpt or knife session.&lt;br /&gt;
* (Third option) Modifier like laplacian deform tool.&lt;br /&gt;
&lt;br /&gt;
[[File:Apinzonf_Remesh_Cactus_01.png|center|thumb|480px| Initial scalar field ]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Introduction ==&lt;br /&gt;
&lt;br /&gt;
This document describes the steps to achieve the quadrilateral remeshing in an interactive way.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Background ==&lt;br /&gt;
This project use the methodology proposes by Dong et al. Named “Harmonic functions for quadrilateral remeshing of arbitrary manifolds”.&lt;br /&gt;
&lt;br /&gt;
 &lt;br /&gt;
&lt;br /&gt;
== Methodology == &lt;br /&gt;
&lt;br /&gt;
The project  is composed by the following steps:&lt;br /&gt;
&lt;br /&gt;
# Build an initial scalar field &amp;lt;br&amp;gt; This scalar field assigns a value to each vertex, this set will describe generally as the remeshing was performed. &amp;lt;br&amp;gt; This scalar field uses several weights assigned in some special vertices how constraints. These special vertices are for example the peak of the head, or arms. &amp;lt;br&amp;gt;These weights have extreme minimum and maximum values, and the algorithm interpolate a scalar field between all special vertices. &amp;lt;br&amp;gt;In the figure (Initial scalar field), show an example of the initial scalar field computed for 6 feature points (Two min points with weight -1, four max points with weight 1). The color represents the value computed for every vertex in the mesh.&lt;br /&gt;
# Based on harmonic scalar field compute a gradient field. &amp;lt;br&amp;gt;From scalar field U derive two orthogonal piecewise-constant tangent vector fields G1, G2 &lt;br /&gt;
# Form a net of polygons over the surface by tracing integral lines of the vector fields G1 and G2.&lt;br /&gt;
# Eliminate all T-junctions and triangulate polygons with more than 4 vertices.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Deliverables == &lt;br /&gt;
&lt;br /&gt;
=== Midterm ===&lt;br /&gt;
&lt;br /&gt;
#	Interactive session with user to define features points.&lt;br /&gt;
#	Construct the harmonic scalar field.&lt;br /&gt;
#	Based on harmonic scalar field compute a gradient field.&lt;br /&gt;
#	Define two orthogonal vector fields using the gradient field.&lt;br /&gt;
&lt;br /&gt;
=== Final === &lt;br /&gt;
&lt;br /&gt;
#	Define a net of polygons over the original surfaces with the use of integral lines defined by the orthogonal vector fields.&lt;br /&gt;
#	Generate a new mesh.&lt;/div&gt;</summary>
		<author><name>wiki&gt;Apinzonf</name></author>
		
	</entry>
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