k-Wave Toolbox

• Getting Started
• Run the First Example
• Build Your Own Simulation
• Troubleshooting
• Reference List
• Examples
• Initial Value Problems
• Example: Homogenous Propagation Medium
• Example: Using A Binary Sensor Mask
• Example: Defining A Sensor Mask By Opposing Corners
• Example: Loading External Image Maps
• Example: Heterogeneous Propagation Medium
• Example: Saving Movie Files
• Example: Recording The Particle Velocity
• Example: Defining A Gaussian Sensor Frequency Response
• Example: Comparison Of Modelling Functions
• Example: Setting An Initial Pressure Gradient
• Example: Simulations In One Dimension
• Example: Simulations In Three Dimensions
• Example: Photoacoustic Waveforms in 1D, 2D and 3D
• Time Varying Source Problems
• Example: Monopole Point Source In A Homogeneous Propagation Medium
• Example: Dipole Point Source In A Homogeneous Propagation Medium
• Example: Simulating Transducer Field Patterns
• Example: Steering A Linear Array
• Example: Snell's Law And Critical Angle Reflection
• Example: The Doppler Effect
• Example: Diffraction Through A Slit
• Example: Simulations In Three-Dimensions
• Sensor Directivity
• Example: Focussed Detector in 2D
• Example: Focussed Detector in 3D
• Example: Modelling Sensor Directivity in 2D
• Example: Modelling Sensor Directivity in 3D
• Example: Sensor Element Directivity in 2D
• Example: Focussed 2D Array with Directional Elements
• Photoacoustic Image Reconstruction
• Example: 2D FFT Reconstruction For A Line Sensor
• Example: 3D FFT Reconstruction For A Planar Sensor
• Example: 2D Time Reversal For A Line Sensor
• Example: 2D Time Reversal For A Circular Sensor
• Example: 3D Time Reversal For A Planar Sensor
• Example: 3D Time Reversal For A Spherical Sensor
• Example: Image Reconstruction With Directional Sensors
• Example: Image Reconstruction With Bandlimited Sensors
• Example: Iterative Image Improvement Using Time Reversal
• Example: Attenuation Compensation Using Time Reversal
• Example: Attenuation Compensation Using Time Variant Filtering
• Example: Automatic Sound Speed Selection
• Diagnostic Ultrasound Simulation
• Example: Defining An Ultrasound Transducer
• Example: Simulating Ultrasound Beam Patterns
• Example: Using An Ultrasound Transducer As A Sensor
• Example: Simulating B-mode Ultrasound Images
• Example: Simulating B-mode Images Using A Phased Array
• Numerical Analysis
• Example: Controlling The Absorbing Boundary Layer
• Example: Source Smoothing
• Example: Filtering A Delta Function Input Signal
• Example: Modelling Power Law Absorption
• Example: Modelling Nonlinear Wave Propagation
• Example: Optimising k-Wave Performance
• Using The C++ Code
• Example: Running C++ Simulations
• Example: Saving Input Files in Parts
• Elastic Wave Propagation
• Example: Explosive Source In A Layered Medium
• Example: Plane Wave Absorption
• Example: Shear Waves And Critical Angle Reflection
• Example: Simulations In Three Dimensions
• Functions - By Category
• Functions - Alphabetical List
• Release Notes
• License

k-Wave Toolbox

makeSphere

Create a binary map of a sphere within a 3D grid

Syntax

sphere = makeSphere(Nx, Ny, Nz, radius)
sphere = makeSphere(Nx, Ny, Nz, radius, plot_sphere)
sphere = makeSphere(Nx, Ny, Nz, radius, plot_sphere, binary)
sphere = makeSphere(Nx, Ny, Nz, radius, [], binary)

Description

makeSphere creates a binary map of a spherical shell (using an extension of the midpoint circle algorithm) within a three-dimensional grid. The sphere position is denoted by 1's in the matrix with 0's elsewhere. If the Boolean input parameter binary is set to false (the default), the sphere map is returned as a double precision matrix. If it is set to true, the map is returned as a logical matrix. A visualisation of the 3D grid returned by calling makeSphere(64, 64, 64, 20, true); and a cut away showing the singel grid point thickness (for illustrative purposes only) are given below.

Inputs

Nx, Ny, Nz	size of the 3D grid [grid points]
radius	sphere radius [grid points]

Optional Inputs

plot_sphere	Boolean controlling whether the sphere is plotted using voxelPlot (default = false)
binary	Boolean controlling whether the sphere map is returned as a double precision matrix (false) or a logical matrix (true) (default = false)

Outputs

sphere

3D binary map of a sphere

Examples

• Focussed Detector in 3D
• 3D Time Reversal For A Spherical Sensor

See Also

makeBall, makeCartSphere, makeCircle, makeSphericalSection

makeLine

makeSphericalSection

© 2009-2014 Bradley Treeby and Ben Cox.