Bilateral Normal Integration
Bilateral Normal Integration
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DOI：
10.1007/978-3-031-19769-7_32
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发表时间：
2022
期刊：
影响因子：
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通讯作者：
Xu Cao;Hiroaki Santo;Boxin Shi;Fumio Okura;Y. Matsushita
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文献类型：
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作者：
Xu Cao;Hiroaki Santo;Boxin Shi;Fumio Okura;Y. Matsushita
研究了由曲面法线映射恢复曲面时的不连续性保持问题。为了模拟不连续性，我们引入了要恢复的表面是半光滑的假设，即，该表面在水平和垂直方向上处处是单侧可微的（因此是单侧连续的）。在半光滑曲面的假设下，我们提出了一个双边加权泛函的不连续性保持正常的积分。其核心思想是在定义单侧深度间断的基础上，对每一点两侧的单侧可微性进行相对加权。其结果是，我们的方法有效地保留了不连续性，并与现有方法相比，在恢复的表面上消除了欠分割或过分割的伪影。此外，我们以一种新的方式统一了正交和透视情况下的法向积分问题，并在两种情况下显示了有效的不连续性保留结果（源代码可在https：//github.com/hoshino042/bilateral_normal_integration.）。
This paper studies the discontinuity preservation problem in recovering a surface from its surface normal map. To model discontinuities, we introduce the assumption that the surface to be recovered issemi-smooth,i.e., the surface is one-sided differentiable (hence one-sided continuous) everywhere in the horizontal and vertical directions. Under the semi-smooth surface assumption, we propose a bilaterally weighted functional for discontinuity preserving normal integration. The key idea is to relatively weight the one-sided differentiability at each point’s two sides based on the definition of one-sided depth discontinuity. As a result, our method effectively preserves discontinuities and alleviates the under- or over-segmentation artifacts in the recovered surfaces compared to existing methods. Further, we unify the normal integration problem in the orthographic and perspective cases in a new way and show effective discontinuity preservation results in both cases (Source code is available at https://github.com/hoshino042/bilateral_normal_integration.).