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Everything about Signed distance function
Distance from a point to the boundary of a set
In mathematics and its applications, the signed distance function or signed distance field (SDF) is the orthogonal distance of a given point x to the boundary of a set Ω in a metric space, with the sign determined by whether or not x is in the interior of Ω. The function has positive values at points x inside Ω, it decreases in value as x approaches the boundary of Ω where the signed distance function is zero, and it takes negative values outside of Ω. However, the alternative convention is also sometimes taken instead. The concept also sometimes goes by the name oriented distance function/field. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Signed distance functionA 5-minute orientation
- Skim a recent paper: Nonparametric and continuous variable-based stratigraphic modelling from sparse boreholes using signed distance function and Bayesian compressive sensingInfluential work since 2022
- Pick up a classic book: Cartesian meditationsThe most-reprinted book on the subject
- Read the landmark paper: Feature-driven topology optimization method with signed distance functionCited 182 times
- Go sideways: Locally integrable functionA closely related topic
- Go sideways: Elliptic operatorA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Feature-driven topology optimization method with signed distance function
Differentiable signed distance function rendering
Computation of the signed distance function to a discrete contour on adapted triangulation
Voxgraph: Globally Consistent, Volumetric Mapping Using Signed Distance Function Submaps
A monolithic smoothing‐gap algorithm for contact‐impact based on the signed distance function
Geometry of Signed Point-to-Surface Distance Function and Its Application to Surface Approximation
Diffusion generated motion using signed distance functions
The convexity of a domain and the superharmonicity of the signed distance function
🆕 Influential since 2022
Nonparametric and continuous variable-based stratigraphic modelling from sparse boreholes using signed distance function and Bayesian compressive sensing
Geometric implicit neural representations for signed distance functions
T‐ESVO: Improved Event‐Based Stereo Visual Odometry via Adaptive Time‐Surface and Truncated Signed Distance Function
Convex Body Collision Detection Using the Signed Distance Function
Shape-informed surrogate models based on signed distance function domain encoding
📚 Books worth reading
Cartesian meditationsEdmund Husserl, Dorion Cairns · 1960
Introduction to psycholinguisticsMatthew J. Traxler · 2011
Problems of life and mindGeorge Henry Lewes · 1874
Data Communications and NetworkingBehrouz A. Forouzan, Catherine Ann Coombs · 2000
Treaty Occupationay ToxicologySuelen Queiroz · 2010
The life and letters of St. Francis XavierHenry James Coleridge · 1872
Direction and position finding by wirelessRonald Keen · 1920
The Life And Writings Of St. JohnJames M. MacDonald · 1880
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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