比较原始 TIN 和简化 TIN
我有两个地形的 TIN（不规则三角网）。第一个 (TIN1) 是原始的，假设有 X 个点。另一个 (TIN2) 是简化的（通过某种抽取算法减少了点数），假设它是从 Y 点构建的，其中 X>Y。现在，我如何对这两个 TIN 进行以下比较：
1) TIN2 与 TIN1 有何相似之处？或 TIN2 如何偏离 TIN1？或者如何比较 TIN2 与 TIN1 的准确性？
2) 有哪些工具或方法可以帮助我获得有关 TIN2 相对于 TIN1 准确性的大部分信息？
您能否给我指出任何论文、书籍、链接……？多谢！
I have two TINs (triangulated irregular network) of a terrain. First one (TIN1) is the original one, let's say with X number of points. And the other (TIN2) is simplified (the number of points were reduced by some decimation algorithm) one where let's say it was build from Y points, where X>Y. Now, how could I do the following comparison between these two TINs:
1) How TIN2 is similar to TIN1? or How TIN2 deviates from TIN1? or How could I compare the accuracy of the TIN2 with respect to TIN1?
2) What are the list of tools or methods that would help me to get the most of the information regarding the accuracy of the TIN2 with respect to TIN1?
If you could possibly point me to any papers, books, links,...? Thanks a lot!
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我参加了一个医学图像处理竞赛，该竞赛设置了一些标准模型相似性度量。完整规范位于此处，第 6 节。使用的 4 项措施是 -
平均表面距离，
最大表面距离，
均方根表面距离，
骰子系数。
其中每一项可能对您有用，也许需要一些小的调整（例如，Dice 相似性度量有界）体积 - 您可能需要设置一个固定深度来限制两个地形所包围的体积）。
I was involved in a medical image processing contest that set some standard model-similarity measures. The full spec is here, section 6. The 4 measures used were -
Mean surface distance,
Max surface distance,
Root-mean-square surface distance,
Dice coefficient.
Each one of those might be useful to you, perhaps with some minor adaptations (e.g., the Dice similarity measures bounded volumes - you might want to set a fixed depth to bound the enclosed volume by both terrains).