function approximationset theorytopologyvectors/ Banach spacevector-valued continuous functiontopological spacedistance functionscalar-valued functionvector subspaceIn this paper we give a formula for the distance from an element f of the Banach space C ( Ω , X )—where X is a Banach space and Ω...
The input raster representing a continuous elevation surface. Flow Direction Raster The input raster that shows the direction of flow out of each pixel. When a flow direction raster is provided, the down slope direction(s) will be limited to those defined by the input flow directions. ...
13.3.4 The Signed Distance Function The level set function, defined by Eq. (13.12), has some attractive properties that define the free surface as the zero contour of a continuous, scalar variable that can be defined everywhere in the flow domain, Ω. If, in addition, we require that |...
In mathematics and applications, the signed distance function of a set Ω in a metric space, also called the oriented distance function, determines the distance of a given point x from the boundary of Ω, with the sign determined by whether x is in Ω. The function has positive values at ...
alearnedcontinuousSignedDistanceFunction(SDF)rep- resentationofaclassofshapesthatenableshighqual- ityshaperepresentation,interpolationandcompletionfrom partialandnoisy3Dinputdata.DeepSDF,likeitsclas- sicalcounterpart,representsashape’ssurfacebyacon- tinuousvolumetricfield:themagnitudeofapointinthe ...
论文是《DeepSDF : Learning Continuous Signed Distance Functions for Shape Representation》,严格来说这是一篇关于三维重建的工作,来自CVPR 2019,由Facebook与华盛顿大学的研究团队联合发表,主要的贡献在于: 编码Latente Vector,将之与样本点坐标组合成拼接向量作为输入以实现多种Mesh的隐式表面描述 设计了一种AutoDecod...
DeepSDF : Learning Continuous Signed Distance Functions for Shape Representation 学习到的连续形状的符号距离函数(SDF)表示形式,可以实现高质量的形状表示,部分和嘈杂的3D输入数据的内插和完成。 DeepSDF和它的经典对应物一样,通过连续的体积场表示形状的表面:该点的大小表示到...表面重建技术不同,该技术将SDF离散...
The horizontal factor function, HF The vertical factor function, VF The effective slope used by the reconstruction algorithm has this general form: Effective slope = C * S * M * HF * VF This value is then multiplied by either the cell size or sqrt(2) * cell size and added to an exis...
the distance for black pixels is then negated, and the result is normalized to the range 0-1. This gives us a smooth, continuous field, with 0.5 exactly on the edge of the original glyph, decreasing to 0.0 as we move farther away, and increasing to 1.0 when we move towards the inside...
This makes sense for massive data sets, especially when so much memory is consumed that the OS kills the process. Underlying distance function The parameter distance_func controls which distance function to use. Possible values: 0: continuous Fréchet distance 1: discrete Fréchet distance 2: ...