Free convolution integral software for mac

Diffraction is an important physical effect inherent in all wave phenomena. Fraunhofer and Fresnel diffraction are two important classes of diffraction. Fraunhofer diffraction involves coherent plane waves incident upon an obstruction. Fresnel diffraction is the same, except that the waves are spherical, effectively originating from a point source.
Fresnel Diffraction Explorer is based on an efficient algorithm to calculate numerically a Fresnel diffraction pattern using any two-dimensional aperture.
It is a simple exercise to show that Fraunhofer diffraction by an aperture is mathematically equivalent to the Fourier transform of the aperture shape. Because the integrals describing Fresnel diffraction are so intractable, however, Fresnel diffraction patterns have few analytical solutions, even in one dimension. ... A calculation in two dimensions is even more problematic.
Enhancements:
Universal Application release for Intel- and PowerPC-based Macs running OS X. Clusters of any combination of Intel or PowerPC Macs can be used in a Fresnel diffraction calculation.
Other updates:
- OS X-compliant icons, dialog boxes, including sheets and antialiased text.
- Endian conversion for file and disk storage as well as sending data over the network.
- Adaptations to bundle formats and Xcode.
- When using multiple wavelengths, FDE can export to QuickTime in addition to PICS.
- Establishment of a data fork only file format.

NIH Image is a public domain image processing and analysis program for the Macintosh.

Image can acquire, display, edit, enhance, analyze and animate images. It reads and writes TIFF, PICT, PICS and MacPaint files, providing compatibility with many other applications, including programs for scanning, processing, editing, publishing and analyzing images. It supports many standard image processing functions, including contrast enhancement, density profiling, smoothing, sharpening, edge detection, median filtering, and spatial convolution with user defined kernels.

Image can be used to measure area, mean, centroid, perimeter, etc. of user defined regions of interest. It also performs automated particle analysis and provides tools for measuring path lengths and angles. Spatial calibration is supported to provide real world area and length measurements. Density calibration can be done against radiation or optical density standards using user specified units. Results can be printed, exported to text files, or copied to the Clipboard.

A tool palette supports editing of color and gray scale images, including the ability to draw lines, rectangles and text. It can flip, rotate, invert and scale selections. It supports multiple windows and 8 levels of magnification. All editing, filtering, and measurement functions operate at any level of magnification and are undoable.

Image directly supports Data Translation and Scion frame grabber cards for capturing images or movie sequences using a TV camera. Acquired images can be shading corrected and frame averaged. Other frame grabbers are supported via plug-in modules.

Image can be customized in three ways: via a built-in Pascal-like macro language, via externally compiled plug-in modules and on the Pascal source code level.

The Numerics osax augments AppleScript with computational commands.
The computational features now include five Suites: Linear algebra, FFT and convolution, Image files, 3D array handling, and Numerical data files.
Main features:
- linear algebra (eigenvalues, linear systems solving, etc.)
- signal processing (1d, 2d, and n-d FFT, cross- and self-correlations, convolution, interpolation)
- image processing (import/export, particle analysis)
- 3D arrays (handling by reference, extraction, isosurfaces, stream lines).
Enhancements:
- Linear algebra: transpose, multmatrix, invertmatrix, solve linear system, compute eigenvalues, LUdecomposition, pivot, determinant
- Basic linear algebra and basic commands for inverting, diagonalizing, and decomposing a matrix. These commands support complex matrices. multmatrix performs the product of matrices and/with vectors: M x M, M x v, v x M, v x v.
- FFT and convolution: fft1d, fft2d, filterarray, convolve, correlate, interpolate
- Fast Fourier transforms: 1d, grouped, n-dimensional, and 2d. Use algorithms which time like N.Log N. Not powers of 2-limited. Convolution and correlation of two arrays, support periodic boundary conditions. Interpolation, linear or spline, supports periodic boundary conditions.
- Image files: imagefile bounds, convert imagefile, create imagefile, create grayimagefile, particles
- Basic commands for doing image processing: getting an images bounds, importing it as a numerical matrix and back, and doing particles analysis (get statistical info and contours of particles of an image).
- 3D array handling: open3D, close3D, list3Darrays, info3D, contents3D, extract3D, isosurface, streamline
- This Suite is to cope with 3D data and visualize them conveniently. Instead of manipulating the data in your script, you load them into memory and specify a name for them. Using the name you can extract whatever fraction of the data you really need. You can produce isosurfaces of a scalar field, and the stream lines of a vectorial field (results are triangle lists).
- Numerical data files: XNFGetArray, XNFSave, XNFdelete, XNFtoc
- This Suite introduces a new extensible data format, XNF (eXtensible Numerical File format.), extension .xnf. XNF files store binary 1D, 2D, and 3D arrays. One XNF file may contain arbitrarily many arrays of various kinds, stored under a variety of formats: the XNF file manages a Table of contents which specifies the properties of each array. Access to arrays is simply by name. Since the Table of contents is a XML, you can apply XPaths to retrieve a particular set of data. XMLLib osax required.

SoundHack 0.893 is a potent and easy to use soundfile processing program for the Macintosh. It performs many utility and esoteric sound processing functions available nowhere else. These functions make SoundHack invaluable to computer musicians, sound effects designers, multimedia artists, webmasters and anyone else who enjoys working with sound. Time stretching or pitch shifting with the phase vocoder or varispeed. Spatialize with the binaural filter. Cross-synthesis between two soundfiles with soundfile convolution, ring modulation or spectral mutation. Noise reduction, spectral expansion or compression with the spectral dynamics processor. Separate transient and steady-state components with the spectral extractor.

Use your own spectral algorithm with spectral analysis/resynthesis and the spectral assistant example code. Save sonograms of your soundfile in QuickTime movies or convert QuickTime movies into sound by sonographic analysis. Play almost any type of soundfile (including AU, AIFF and WAVE). Record any size soundfile from the Macintosh sound input. Import soundfiles from audio CDs. Convert between different types of soundfiles with optional gain scaling and sample rate conversion. Change values in the soundfile header (sample rate, number of channels, loop points and marker info). Read and write Sound Designer II, Audio IFC, Audio IFF, BICSF (IRCAM), DSP Designer, QuickTime/AIFF, Microsoft WAVE (RIFF), NeXT .snd, Sun.au, ULaw, IMA4, TEXT and headerless (raw) soundfiles.

The CUDA Toolkit is a C language development environment for CUDA-enabled GPUs.
In a matter of a few years, the programmable graphics processor unit has
developed into an absolute computing workhorse. With multiple cores driven by very high memory bandwidth, todays GPUs offer incredible resources for both graphics and non-graphics processing.
The main reason behind such an evolution is that the GPU is specialized for compute-intensive, highly parallel computation exactly what graphics rendering is about and therefore is designed such that more transistors are devoted to data processing rather than data caching and flow control.
The CUDA development environment includes:
- nvcc C compiler
- CUDA FFT and BLAS libraries for the GPU
- Profiler
- gdb debugger for the GPU (alpha available in March, 2008)
- CUDA runtime driver (now also available in the standard NVIDIA GPU driver)
- CUDA programming manual
The CUDA Developer SDK provides examples with source code to help you get started with CUDA. Examples include:
- Parallel bitonic sort
- Matrix multiplication
- Matrix transpose
- Performance profiling using timers
- Parallel prefix sum (scan) of large arrays
- Image convolution
- 1D DWT using Haar wavelet
- OpenGL and Direct3D graphics interoperation examples
- CUDA BLAS and FFT library usage examples
- CPU-GPU C- and C++-code integration
- Binomial Option Pricing
- Black-Scholes Option Pricing
- Monte-Carlo Option Pricing
- Parallel Mersenne Twister (random number generation)
- Parallel Histogram
- Image Denoising
- Sobel Edge Detection Filter
- MathWorks MATLAB Plug-in

Main features:
- Standard C programming language enabled on a GPU.
- Unified hardware and software solution for parallel computing on CUDA-enabled NVIDIA GPUs.
- CUDA compatible GPUs range from lower power notebook GPUs to high performance, multi-GPU systems.
- CUDA-enabled GPUs support the Parallel Data Cache and Thread Execution Manager.
- Standard numerical libraries for FFT (Fast Fourier Transform) and BLAS (Basic Linear Algebra Subroutines).
- Dedicated CUDA driver for computing.
- Optimized direct upload and download path from the CPU to CUDA-enabled GPU.
- CUDA driver interoperates with OpenGL and DirectX graphics drivers.
- Support for Linux 32/64-bit and Windows XP 32/64-bit operating systems.
- Direct driver and assembly level access through CUDA for research and language development.

Enhancements
- Visual Profiler for the GPU - The most common step in tuning application performance is profiling the application and then modifying the code. The CUDA Visual Profiler is a graphical tool that enables the profiling of C applications running on the GPU. This latest release of the CUDA Visual Profiler includes metrics for memory transactions, giving developers visibility into one of the most important areas they can tune to get better performance.
- Improved OpenGL Interop - Delivers improved performance for Medical Imaging and other OpenGL applications running on Quadro GPUs when computing with CUDA and rendering OpenGL graphics functions are performed on different GPUs.
- Texture from Pitch Linear Memory - Delivers up to 2x bandwidth savings for video processing applications.
- Zero-copy - Enables streaming media, video transcoding, image processing and signal processing applications to realize significant performance improvements by allowing CUDA functions to read and write directly from pinned system memory. This reduces the frequency and amount of data copied back and forth between GPU and CPU memory. Supported on MCP7x and GT200 and later GPUs.
- Pinned Shared Sysmem - Enables applications that use multiple GPUs to achieve better performance and use less total system memory by allowing multiple GPUs to access the same data in system memory. Typical multi-GPU systems include Tesla servers, Tesla Personal Supercomputers, workstations using QuadroPlex deskside units and consumer systems with multiple GPUs.
- Asynchronous memcopy on Vista - Allows applications to realize significant performance improvements by copying memory asynchronously. This feature was already available on other supported platforms but is now available on Vista.
- Hardware Debugger for the GPU - Developers can now use a hardware level debugger on CUDA-enabled GPUs that offers the simplicity of the popular open-source GDB debugger yet enables a developer to easily debug a program that is running 1000s of threads on the GPU. This CUDA GDB debugger for Linux has all the features required to debug directly on the GPU, including the ability to set breakpoints, watch variables, inspect state, etc.
- Exclusive Device Mode - This system configuration option allows an application to get exclusive use of a GPU, guaranteeing that 100% of the processing power and memory of the GPU will be dedicated to that application. Multiple applications can still be run concurrently on the system, but only one application can make use of each GPU at a time. This configuration is particularly useful on Tesla cluster systems where large applications may require dedicated use of one or more GPUs on each node of a Linux cluster.
Pinned Memory Support:
- These new memory management functions (cuMemHostAlloc() and cudaHostAlloc()) enable pinned memory to be made "portable" (available to all CUDA contexts), "mapped" (mapped into the CUDA address space), and/or "write combined" (not cached and faster for the GPU to access).
- cuMemHostAlloc
- cuMemHostGetDevicePointer
- cudaHostAlloc
- cudaHostGetDevicePointer
Function attribute query:
- This function allows applications to query various function properties.
- cuFuncGetAttribute
2D Texture reads from pitch linear memory:
- You can bind linear memory that you get from cuMemAlloc() or cudaMalloc() directly to a 2D texture. In previous releases, you were only able to bind cuArrayCreate() or cudaMallocArray() arrays to 2D textures.
- cuTexRefSetAddress2D
- cudaBindTexture2D
Flags for event creation:
- Applications can now create events that use blocking synchronization.
- cudaEventCreateWithFlags
New device management and context creation flags:
- The function cudaSetDeviceFlags() allows the application to specify attributes such as mapping host memory and support for blocking synchronization.
- cudaSetDeviceFlags
Improved runtime device management:
- The runtime now defaults to attempting context creation on other devices in the system before returning any failure messages. The new call cudaSetValidDevices() allows the application to specify a list of acceptable devices for use.
- cudaSetValidDevices
Driver/runtime version query functions:
- Applications can now directly query version information about the underlying driver/runtime.
- cuDriverGetVersion
- cudaDriverGetVersion
- cudaRuntimeGetVersion
New device attribute queries:
- CU_DEVICE_ATTRIBUTE_INTEGRATED
- CU_DEVICE_ATTRIBUTE_CAN_MAP_HOST_MEMORY
- CU_DEVICE_ATTRIBUTE_COMPUTE_MODE
Documentation:
- Doxygen-generated and cross-referenced html, pdf, and man pages.
- Runtime API
- Driver API