JSTOR Daily

Explicit integral representations of implicit functions

The main goal of the paper is to obtain explicit integral representations of implicit functions whose existence is guaranteed by the implicit function theory. We derive the mentioned representation ...
GitHub

Example code for integrating over the intersection of two implicit functions using the first method

I am currently working with the first method, which is the "Implicitly-defined domain specified by a single level set function, sufficiently-smooth but otherwise arbitrary". My requirement is to ...
IEEE

I-Filtering: Implicit Filtering for Learning Neural Distance Functions from 3D Point Clouds

Abstract: Neural implicit functions including signed distance functions (SDFs) and unsigned distance functions (UDFs) have shown powerful ability in fitting the shape geometry. However, inferring ...
JSTOR Daily

An Implicit Function Theorem for Lipschitz Mappings Into Metric Spaces

We prove a version of the implicit function theorem for Lipschitz mappings ƒ : ℝn+m ⊃ A → X into arbitrary metric spaces. As long as the pull-back of the Hausdorff content H ∞ n by ƒ has positive ...
IEEE

Learning Guided Implicit Depth Function With Scale-Aware Feature Fusion

Abstract: Recently, the single image super-resolution based on implicit image function is a hot topic, which learns a universal model for arbitrary upsampling scales. By contrast, color-guided depth ...