{"product_id":"contacts-constraints-a-guide-to-lcp-based-rigid-body-dynamics-9798247301202","title":"Contacts \u0026 Constraints: A Guide to LCP-Based Rigid-Body Dynamics","description":"\u003cp\u003e • Author(s): Kenwright\u003cbr\u003e • Publisher: Independently Published\u003cbr\u003e • Publisher Imprint: Independently Published\u003cbr\u003e • BISAC: Computer Science\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eYour rigid bodies move. They collide. And then, they spasm, jitter, and explode into infinity.\u003c\/b\u003e\u003c\/p\u003e\u003cp\u003eYou've mastered the first collision check. You can answer \u003ci\u003e\"Are they touching?\"\u003c\/i\u003e But the real question-the one that separates a tech demo from a simulation-is far more severe: \u003cb\u003e\"Now that they are touching, what in the world should they \u003ci\u003edo\u003c\/i\u003e?\"\u003c\/b\u003e\u003c\/p\u003e\u003cp\u003eYou're told the answer lives in a realm of soul-crushing mathematics: Linear Complementarity Problems, Jacobian matrices, and iterative solvers. That to stack a box on another box without chaos, you must first become an academic researcher.\u003c\/p\u003e\u003cp\u003e\u003cb\u003eWhat if you could cross the chasm from collision detection to stable, convincing simulation in the time it takes to debug one catastrophic failure?\u003c\/b\u003e\u003c\/p\u003e\u003cp\u003eThis book is for the engineer, not the spectator. For the developer whose physics engine \u003ci\u003ealmost\u003c\/i\u003e works until things rest, lean, or pile up. For the technical artist tired of slapping \"mass\" and \"friction\" values onto objects and praying. For anyone who has seen a perfectly stacked tower in a game and thought, \"I need to know how that \u003ci\u003eactually\u003c\/i\u003e works.\"\u003c\/p\u003e\u003cb\u003eForget The Black Box. Open The Solver.\u003c\/b\u003e\u003cp\u003eRigid-body dynamics isn't magic. It's \u003cb\u003eapplied justice\u003c\/b\u003e. It's the system of laws you write for the moment after impact. When two shapes meet, they must negotiate: \u003ci\u003e\"You cannot be here. I cannot be there. So we must move, rotate, or push.\"\u003c\/i\u003e An LCP is the courtroom where that negotiation is resolved fairly, without energy being created or destroyed.\u003c\/p\u003e\u003cp\u003eWe move past the abstract academic papers and show you the \u003cb\u003earchitect's blueprint\u003c\/b\u003e: \u003c\/p\u003e\u003col\u003e\n\u003cli\u003e\u003cp\u003e\u003cb\u003eThe Contact: \u003c\/b\u003e The crime scene. (Where, how deep, and at what angle did they penetrate?)\u003c\/p\u003e\u003c\/li\u003e\n\u003cli\u003e\u003cp\u003e\u003cb\u003eThe Constraint: \u003c\/b\u003e The law you will enforce. (Thou shalt not overlap. Thou shalt slide with this friction.)\u003c\/p\u003e\u003c\/li\u003e\n\u003cli\u003e\u003cp\u003e\u003cb\u003eThe LCP: \u003c\/b\u003e The impartial judge. (Find the forces that satisfy all laws simultaneously.)\u003c\/p\u003e\u003c\/li\u003e\n\u003cli\u003e\u003cp\u003e\u003cb\u003eThe Integration: \u003c\/b\u003e The execution of the verdict. (Apply those forces to move bodies correctly.)\u003c\/p\u003e\u003c\/li\u003e\n\u003c\/ol\u003e\u003cp\u003eThat's the entire judicial system of your physical world. Everything else is due process and precedent.\u003c\/p\u003e\u003cb\u003eWatch Chaos Yield To Order: \u003c\/b\u003e\u003cul\u003e\n\u003cli\u003e\u003cp\u003e\u003cb\u003eThe Despair: \u003c\/b\u003e \"My boxes stack, then vibrate into the void. My ragdoll's knee spins like a propeller. I have collisions, but I don't have \u003ci\u003econsequences\u003c\/i\u003e.\"\u003c\/p\u003e\u003c\/li\u003e\n\u003cli\u003e\u003cp\u003e\u003cb\u003eThe Revelation: \u003c\/b\u003e A guided tour through the solver's logic. Suddenly, you're not tweaking mystical damping values-you're \u003cb\u003epresiding over the physics\u003c\/b\u003e. Contact point by contact point, constraint by constraint, you learn to pass judgments that build a stable world.\u003c\/p\u003e\u003c\/li\u003e\n\u003c\/ul\u003e\u003cb\u003eWhat You Will Actually Command: \u003c\/b\u003e\u003cp\u003eNot just a library to call. \u003cb\u003eYou will command understanding.\u003c\/b\u003e\u003c\/p\u003e\u003cp\u003eWhen you finish, you won't see a physics engine as an impenetrable crate of compiled code. You will see a logical, stepwise process you can debug and reason.\u003c\/p\u003e\u003cp\u003eThe mystification evaporates. What remains is the rigorous, mathematical heart of convincing physical interaction-and you will have just learned how to make it beat.\u003c\/p\u003e\u003cb\u003eA Final, Unflinching Truth: \u003c\/b\u003e\u003cp\u003eThis book will not shy away from the mathematics. \u003cb\u003eIt will translate the mathematics into machinery.\u003c\/b\u003e It is the master key to the solver's black box. The path to advanced continuous collision, soft bodies, and fluid coupling is arduous. But you will begin that path \u003cb\u003eholding the blueprint to the foundation\u003c\/b\u003e, not just living in the house.\u003c\/p\u003e\u003cp\u003e\u003cb\u003eStop treating physics as a force of nature. Start understanding it.\u003c\/b\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e","brand":"Independently Published","offers":[{"title":"Paperback","offer_id":47570278154391,"sku":"9798247301202","price":6564.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9798247301202.webp?v=1774881060","url":"https:\/\/atlanticbooks.com\/products\/contacts-constraints-a-guide-to-lcp-based-rigid-body-dynamics-9798247301202","provider":"Atlantic Books","version":"1.0","type":"link"}