Surface Class

public abstract class Surface

Public MustInherit Class Surface

public ref class Surface abstract

[<AbstractClassAttribute>]
type Surface = class end

Inheritance

Object  →  Surface

Derived

Numerics.NET.Curves.Surfaces.GridSurface

Numerics.NET.Curves.Surfaces.NearestScatterSurface

Numerics.NET.Curves.Surfaces.RbfSurface

Numerics.NET.Curves.Surfaces.TriangulatedSurface2D

The Surface class is the abstract base class for classes that represent scalar-valued functions on N-dimensional real space, mapping a point p ∈ ℝⁿ to a single real value.

The dimensionality of the input space is specified by the Dimension property. All input points must have exactly Dimension components.

This class provides single-point evaluation via the Evaluate(ReadOnlySpan<Double>) method and batched evaluation methods for improved performance when evaluating the function at multiple points.

The Surface class is intended as the foundation for N-dimensional interpolation implementations, machine learning applications, and other scenarios requiring continuous scalar functions in arbitrary dimensions.

Specialized Surface Types

The library provides several specialized surface implementations for common use cases:

Grid-Based Surfaces (Rectilinear Grids):

Scattered Data Surfaces:

See the Interpolation class for factory methods to create these surfaces.

The batched evaluation methods support two input formats:

• A collection of Vector<T> objects, where each vector represents a single point in N-dimensional space.
• A ReadOnlySpan2D<T> representing points in a column-major layout, where each column represents one point and rows represent the coordinate dimensions.

Notes to inheritors: When you derive from Surface, you must:

• Call the protected constructor with the appropriate dimension.
• Override the Evaluate(ReadOnlySpan<Double>) method.

Reference