A method for generating visual representations of interactions between two different materials is provided. The method can be performed using a computing device operated by a computer user or artist. The method includes modeling a primary material as a plurality of first particles and modeling a layer portion of a secondary material as a fluid volume. The secondary material can include a layer portion positioned between the plurality of first particles and an outer portion. At least one boundary condition might be assigned to a boundary positioned between the layer portion and the outer portion, the at least one boundary condition includes at least one pressure value. Values of motion parameters might be determined by applying the at least one boundary condition at the boundary and generating one or more visual representations of the primary material interacting with the secondary material based on the values of the motion parameters.

A multi-grid method using a V cycle includes: obtaining a first intermediate solution and a first residual by smoothing a cell of a fine level; obtaining a cell of a coarse level by down-sampling the cell of the fine level and setting the first residual as a second residual of the cell of the coarse level; obtaining a high-frequency component solution of the cell of the fine level and obtaining a smoothed high-frequency component solution by smoothing the high-frequency component solution; obtaining a coarse solution in the cell of the coarse level; up-sampling and transferring the coarse solution to the cell of the fine level and obtaining a corrected intermediate solution by adding the first intermediate solution, the smoothed high-frequency component solution and the coarse solution; and obtaining a second intermediate solution by smoothing the corrected intermediate solution.

A computer-implemented method can include generating centerlines of a patient's cardiovascular network, determining geometric features of the cardiovascular network based on the centerlines and a three-dimensional (3D) computer model of the cardiovascular network, constructing a lumped parameter network (LPN) of resistors corresponding to the cardiovascular network, and solving a system of equations corresponding to flow and pressure for the LPN model.

The present disclosure relates to systems, non-transitory computer-readable media, and methods that provide and apply dynamic image filters to modify digital images over time to simulate a dynamical system. Such dynamic image filters can modify a digital image to progress through different frames depicting visual effects mimicking natural and/or artificial qualities of a fluid, gas, chemical, cloud formation, fractal, or various physical matters or phenomena according to a dynamic-simulation function. Upon detecting a selection of a dynamic image filter, the disclosed systems can identify a dynamic-simulation function corresponding to the dynamical system. Based on selecting a portion of the (or entire) digital image at which to apply the dynamic image filter, the disclosed systems incrementally modify the digital image across time steps to simulate the dynamical system according to the dynamic-simulation function.

A method for digitally modeling an industrial space, the industrial space including a plurality of pieces of equipment (E3) disposed in an industrial building (B), the modeling method including a step of three-dimensionally digitizing the industrial space so as to obtain a web (NAP) defining meshes representing the outer envelope of the industrial space with all of its pieces of equipment (E3), a step of real-time segmenting the web (NAP) in a virtual environment by a user during which:

a bounding box (F) is positioned to bound at least one piece of equipment to be segmented (E3), and

the points of the web (NAP), belonging to the volume of the bounding box (F), are associated so as to form a virtual object (OBJ).

Examples disclosed herein may involve a computing system that is operable to (i) present, via a visual interface, a virtual shape associated with a three-dimensional (3D) coordinate system, (ii) present, via the visual interface, a visual indicator positioned in proximity to the virtual shape and indicating that a specified spatial parameter of the virtual shape will be modified along a specified dimension of the 3D coordinate system in response to a given type of user input associated with the visual indicator, (iii) while presenting the visual indicator, detect an instance of the given type of user input associated with the visual indicator, and (iv) after detecting the instance of the given type of user input, update the virtual shape that is presented via the visual interface by modifying the specified spatial parameter of the virtual shape along the specified dimension.

The present invention relates to image processing devices and related methods. The image processing device (10) comprises a data input (11) for receiving spectral computed tomography volumetric image data organized in voxels. The image data comprises a contrast-enhanced volumetric image of a cardiac region in a subject's body and a baseline volumetric image of that cardiac region, e.g. a virtual non-contrast image, wherein the contrast-enhanced volumetric image conveys anatomical information regarding coronary artery anatomy of the subject. The device comprises a flow simulator (12) for generating, or receiving as input, a three-dimensional coronary tree model based on the volumetric image data and for simulating a coronary flow based on the three-dimensional coronary tree model. The device comprises a perfusion synthesis unit (13) for generating a perfusion image representative of a blood distribution in tissue at at least one instant in time taking at least the baseline volumetric image and said coronary flow simulation into account.

A method for generating one or more visual representations of an object colliding with an interface between a simulated fluid and a material. The method includes obtaining shape and movement data of a bulk fluid and an object, identifying an interface where the bulk fluid covers a portion of the object, generating an emitted fluid at the interface, generating shape and movement data of the emitted fluid interacting with the object.

In an approach for controlling a multiphase flow configured to create a plurality of particles, a processor obtains images of a plurality of particles in a multiphase flow. A processor provides the images to a neural network adapted to determine a distribution of a spatial property of the plurality of particles from the provided images. A processor determines the distribution of the spatial property of the plurality of particles in the multiphase flow, based on the provided images, using the neural network. A processor controls the multiphase flow based on the determined distribution.

Methods and systems for performing softbody tissue simulation are described. A two-dimensional (2D) vertex displacement grid, represented as a 2D texture of a softbody mesh, can be determined. The 2D texture can comprise pinned positions of vector displacements relative to base positions. The surface of a three-dimensional (3D) object can be displaced by adding the vector displacements stored in the 2D texture in order to perform softbody tissue simulation. The pinning can comprise sliding, and sliding objects can be represented as signed distance functions (SDFs).